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Finding the Fourth Proportional to 3,632.97, 5,438.49 and 2,396.49

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Solution

The fourth proportional to 3,632.97, 5,438.49 and 2,396.49 is: 3,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.97 : 5,438.49 = 2,396.49 : x
  2. Step 2: Convert to fraction form
    3,632.97/5,438.49 = 2,396.49/x
  3. Step 3: Cross multiply
    3,632.97x = 5,438.49 × 2,396.49
  4. Step 4: Simplify right side
    3,632.97x = 13,033,286.90
  5. Step 5: Solve for x
    x = 13,033,286.90/3,632.97
  6. Step 6: Final answer
    x = 3,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.